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Finding the Fourth Proportional to 7,310.20, 10,965.20 and 1,763.50

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Solution

The fourth proportional to 7,310.20, 10,965.20 and 1,763.50 is: 2,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.20 : 10,965.20 = 1,763.50 : x
  2. Step 2: Convert to fraction form
    7,310.20/10,965.20 = 1,763.50/x
  3. Step 3: Cross multiply
    7,310.20x = 10,965.20 × 1,763.50
  4. Step 4: Simplify right side
    7,310.20x = 19,337,130.20
  5. Step 5: Solve for x
    x = 19,337,130.20/7,310.20
  6. Step 6: Final answer
    x = 2,645.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.